\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{20}   &  1.0 & -1.00 x_{1} & + 10.00 x_{2} & -2.00 x_{3} & +  6.00 x_{4} & -5.00 x_{5} & -6.00 x_{6} &   & +  9.00 x_{8} & +  4.00 x_{9} & +  5.00 x_{10} & +  7.00 x_{11} & -6.00 x_{12} & +  9.00 x_{13} & +  8.00 x_{14} & -8.00 x_{15} & +  2.00 x_{16} & -4.00 x_{17} & +  9.00 x_{18} & + 10.00 x_{19}\\
 x_{21}   &  -3.0 & -8.00 x_{1} & +  8.00 x_{2} & -1.00 x_{3} & -8.00 x_{4} & + 10.00 x_{5} & +  4.00 x_{6} & -6.00 x_{7} & -1.00 x_{8} & +  7.00 x_{9} & +  7.00 x_{10} & +  9.00 x_{11} & -5.00 x_{12} & -1.00 x_{13} & -10.00 x_{14} &   & +  6.00 x_{16} & +  6.00 x_{17} & -10.00 x_{18} & +  9.00 x_{19}\\
 x_{22}   &  0.0 & +  6.00 x_{1} & +  1.00 x_{2} & +  1.00 x_{3} & -2.00 x_{4} & -5.00 x_{5} & -3.00 x_{6} & -4.00 x_{7} & +  5.00 x_{8} & -6.00 x_{9} &   & -6.00 x_{11} & -1.00 x_{12} & -9.00 x_{13} & -2.00 x_{14} & +  5.00 x_{15} & -1.00 x_{16} & -9.00 x_{17} & -3.00 x_{18} & -6.00 x_{19}\\
 x_{23}   &  0.0 & -10.00 x_{1} & +  9.00 x_{2} & -9.00 x_{3} & -3.00 x_{4} & -6.00 x_{5} & +  3.00 x_{6} & -6.00 x_{7} & -3.00 x_{8} & -3.00 x_{9} & -3.00 x_{10} & +  5.00 x_{11} &   & +  3.00 x_{13} & +  1.00 x_{14} & +  3.00 x_{15} & -2.00 x_{16} & +  5.00 x_{17} & -8.00 x_{18} & +  5.00 x_{19}\\
 x_{24}   &  -1.0 & -4.00 x_{1} & -4.00 x_{2} & +  2.00 x_{3} & -1.00 x_{4} & +  6.00 x_{5} & -9.00 x_{6} & -9.00 x_{7} & -3.00 x_{8} & -9.00 x_{9} & +  8.00 x_{10} & -8.00 x_{11} & -8.00 x_{12} & +  8.00 x_{13} & +  9.00 x_{14} & -1.00 x_{15} & -5.00 x_{16} & +  2.00 x_{17} & -9.00 x_{18} & +  1.00 x_{19}\\
 x_{25}   &  0.0 & +  3.00 x_{1} & -9.00 x_{2} & +  6.00 x_{3} &   & -2.00 x_{5} & +  1.00 x_{6} & +  7.00 x_{7} & +  3.00 x_{8} & +  4.00 x_{9} & -8.00 x_{10} & +  7.00 x_{11} & +  9.00 x_{12} & -10.00 x_{13} & +  6.00 x_{14} & -4.00 x_{15} & -1.00 x_{16} & -4.00 x_{17} & +  1.00 x_{18} & +  9.00 x_{19}\\
 x_{26}   &  2.0 & -6.00 x_{1} & -10.00 x_{2} &   & +  7.00 x_{4} &   & -1.00 x_{6} & -8.00 x_{7} & -7.00 x_{8} & -1.00 x_{9} & +  2.00 x_{10} & +  7.00 x_{11} & +  1.00 x_{12} & + 10.00 x_{13} & +  9.00 x_{14} & +  3.00 x_{15} & -3.00 x_{16} & +  7.00 x_{17} & -3.00 x_{18} & -2.00 x_{19}\\
 x_{27}   &  0.0 & +  2.00 x_{1} & -9.00 x_{2} & +  3.00 x_{3} &   & +  2.00 x_{5} & +  4.00 x_{6} & -7.00 x_{7} & -6.00 x_{8} & +  6.00 x_{9} &    &   & +  5.00 x_{12} & -7.00 x_{13} & -2.00 x_{14} &   & -9.00 x_{16} & -4.00 x_{17} & -5.00 x_{18} & +  9.00 x_{19}\\
 x_{28}   &  2.0 & +  9.00 x_{1} &   & +  2.00 x_{3} & -2.00 x_{4} & +  3.00 x_{5} & -7.00 x_{6} & -1.00 x_{7} & -5.00 x_{8} & +  5.00 x_{9} & +  3.00 x_{10} & -7.00 x_{11} & +  5.00 x_{12} & +  9.00 x_{13} & -7.00 x_{14} & +  9.00 x_{15} & -7.00 x_{16} & -1.00 x_{17} & -6.00 x_{18} & -8.00 x_{19}\\
 x_{29}   &  -3.0 & +  5.00 x_{1} & +  9.00 x_{2} & -10.00 x_{3} & -2.00 x_{4} & -2.00 x_{5} & -6.00 x_{6} & -2.00 x_{7} & +  8.00 x_{8} & +  7.00 x_{9} & -9.00 x_{10} & -4.00 x_{11} & +  2.00 x_{12} & +  3.00 x_{13} & +  2.00 x_{14} & + 10.00 x_{15} & +  8.00 x_{16} & -4.00 x_{17} & -5.00 x_{18} & +  4.00 x_{19}\\
 x_{30}   &  1.0 & +  5.00 x_{1} & + 10.00 x_{2} &   & -6.00 x_{4} &   & -6.00 x_{6} & -10.00 x_{7} & -1.00 x_{8} & +  6.00 x_{9} & -7.00 x_{10} & + 10.00 x_{11} &   & + 10.00 x_{13} & +  4.00 x_{14} & -1.00 x_{15} & -3.00 x_{16} & +  9.00 x_{17} & -5.00 x_{18} & +  3.00 x_{19}\\
 x_{31}   &  1.0 & -5.00 x_{1} & -2.00 x_{2} & +  2.00 x_{3} & -2.00 x_{4} & -1.00 x_{5} & +  8.00 x_{6} & +  9.00 x_{7} & +  5.00 x_{8} & +  6.00 x_{9} & +  1.00 x_{10} & +  2.00 x_{11} & -1.00 x_{12} & -9.00 x_{13} & -8.00 x_{14} & +  7.00 x_{15} & -8.00 x_{16} & +  1.00 x_{17} & +  2.00 x_{18} &   \\
 x_{32}   &  0.0 & +  4.00 x_{1} & +  2.00 x_{2} & -8.00 x_{3} & +  9.00 x_{4} & -2.00 x_{5} & -10.00 x_{6} & +  9.00 x_{7} & +  5.00 x_{8} & +  6.00 x_{9} & -2.00 x_{10} & -10.00 x_{11} & +  2.00 x_{12} & -8.00 x_{13} & -5.00 x_{14} & +  2.00 x_{15} & +  8.00 x_{16} & -5.00 x_{17} & -5.00 x_{18} & +  3.00 x_{19}\\
 x_{33}   &  2.0 & + 10.00 x_{1} & -3.00 x_{2} & +  6.00 x_{3} & -4.00 x_{4} & +  6.00 x_{5} & +  7.00 x_{6} &   & +  6.00 x_{8} &   & -8.00 x_{10} & -3.00 x_{11} & -4.00 x_{12} &   & +  9.00 x_{14} &   & +  4.00 x_{16} & -10.00 x_{17} & -8.00 x_{18} & -4.00 x_{19}\\
 x_{34}   &  2.0 & -1.00 x_{1} & -3.00 x_{2} & -8.00 x_{3} & -10.00 x_{4} & -5.00 x_{5} & +  4.00 x_{6} & -7.00 x_{7} & -5.00 x_{8} & -10.00 x_{9} & -7.00 x_{10} & +  5.00 x_{11} & +  3.00 x_{12} & +  1.00 x_{13} & + 10.00 x_{14} & +  1.00 x_{15} & -1.00 x_{16} & -1.00 x_{17} &   & -10.00 x_{19}\\
\hline
z    &  0.0 & -5.00 x_{1} & +  5.00 x_{2} &   & +  1.00 x_{4} & -1.00 x_{5} & +  3.00 x_{6} & -4.00 x_{7} & +  4.00 x_{8} & -1.00 x_{9} & +  1.00 x_{10} & +  3.00 x_{11} & -2.00 x_{12} & +  4.00 x_{13} & +  5.00 x_{14} & +  4.00 x_{15} & +  2.00 x_{16} & +  1.00 x_{17} &   & -4.00 x_{19}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{19}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,34$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  1.00 y_{20} & +  8.00 y_{21} & -6.00 y_{22} & + 10.00 y_{23} & +  4.00 y_{24} & -3.00 y_{25} & +  6.00 y_{26} & -2.00 y_{27} & -9.00 y_{28} & -5.00 y_{29} & -5.00 y_{30} & +  5.00 y_{31} & -4.00 y_{32} & -10.00 y_{33} & +  1.00 y_{34}\\
 y_{2}   &  1.0 & -10.00 y_{20} & -8.00 y_{21} & -1.00 y_{22} & -9.00 y_{23} & +  4.00 y_{24} & +  9.00 y_{25} & + 10.00 y_{26} & +  9.00 y_{27} &   & -9.00 y_{29} & -10.00 y_{30} & +  2.00 y_{31} & -2.00 y_{32} & +  3.00 y_{33} & +  3.00 y_{34}\\
 y_{3}   &  1.0 & +  2.00 y_{20} & +  1.00 y_{21} & -1.00 y_{22} & +  9.00 y_{23} & -2.00 y_{24} & -6.00 y_{25} &   & -3.00 y_{27} & -2.00 y_{28} & + 10.00 y_{29} &   & -2.00 y_{31} & +  8.00 y_{32} & -6.00 y_{33} & +  8.00 y_{34}\\
 y_{4}   &  1.0 & -6.00 y_{20} & +  8.00 y_{21} & +  2.00 y_{22} & +  3.00 y_{23} & +  1.00 y_{24} &   & -7.00 y_{26} &   & +  2.00 y_{28} & +  2.00 y_{29} & +  6.00 y_{30} & +  2.00 y_{31} & -9.00 y_{32} & +  4.00 y_{33} & + 10.00 y_{34}\\
 y_{5}   &  1.0 & +  5.00 y_{20} & -10.00 y_{21} & +  5.00 y_{22} & +  6.00 y_{23} & -6.00 y_{24} & +  2.00 y_{25} &   & -2.00 y_{27} & -3.00 y_{28} & +  2.00 y_{29} &   & +  1.00 y_{31} & +  2.00 y_{32} & -6.00 y_{33} & +  5.00 y_{34}\\
 y_{6}   &  1.0 & +  6.00 y_{20} & -4.00 y_{21} & +  3.00 y_{22} & -3.00 y_{23} & +  9.00 y_{24} & -1.00 y_{25} & +  1.00 y_{26} & -4.00 y_{27} & +  7.00 y_{28} & +  6.00 y_{29} & +  6.00 y_{30} & -8.00 y_{31} & + 10.00 y_{32} & -7.00 y_{33} & -4.00 y_{34}\\
 y_{7}   &  1.0  &   & +  6.00 y_{21} & +  4.00 y_{22} & +  6.00 y_{23} & +  9.00 y_{24} & -7.00 y_{25} & +  8.00 y_{26} & +  7.00 y_{27} & +  1.00 y_{28} & +  2.00 y_{29} & + 10.00 y_{30} & -9.00 y_{31} & -9.00 y_{32} &   & +  7.00 y_{34}\\
 y_{8}   &  1.0 & -9.00 y_{20} & +  1.00 y_{21} & -5.00 y_{22} & +  3.00 y_{23} & +  3.00 y_{24} & -3.00 y_{25} & +  7.00 y_{26} & +  6.00 y_{27} & +  5.00 y_{28} & -8.00 y_{29} & +  1.00 y_{30} & -5.00 y_{31} & -5.00 y_{32} & -6.00 y_{33} & +  5.00 y_{34}\\
 y_{9}   &  1.0 & -4.00 y_{20} & -7.00 y_{21} & +  6.00 y_{22} & +  3.00 y_{23} & +  9.00 y_{24} & -4.00 y_{25} & +  1.00 y_{26} & -6.00 y_{27} & -5.00 y_{28} & -7.00 y_{29} & -6.00 y_{30} & -6.00 y_{31} & -6.00 y_{32} &   & + 10.00 y_{34}\\
 y_{10}   &  1.0 & -5.00 y_{20} & -7.00 y_{21} &   & +  3.00 y_{23} & -8.00 y_{24} & +  8.00 y_{25} & -2.00 y_{26} &   & -3.00 y_{28} & +  9.00 y_{29} & +  7.00 y_{30} & -1.00 y_{31} & +  2.00 y_{32} & +  8.00 y_{33} & +  7.00 y_{34}\\
 y_{11}   &  1.0 & -7.00 y_{20} & -9.00 y_{21} & +  6.00 y_{22} & -5.00 y_{23} & +  8.00 y_{24} & -7.00 y_{25} & -7.00 y_{26} &   & +  7.00 y_{28} & +  4.00 y_{29} & -10.00 y_{30} & -2.00 y_{31} & + 10.00 y_{32} & +  3.00 y_{33} & -5.00 y_{34}\\
 y_{12}   &  1.0 & +  6.00 y_{20} & +  5.00 y_{21} & +  1.00 y_{22} &   & +  8.00 y_{24} & -9.00 y_{25} & -1.00 y_{26} & -5.00 y_{27} & -5.00 y_{28} & -2.00 y_{29} &   & +  1.00 y_{31} & -2.00 y_{32} & +  4.00 y_{33} & -3.00 y_{34}\\
 y_{13}   &  1.0 & -9.00 y_{20} & +  1.00 y_{21} & +  9.00 y_{22} & -3.00 y_{23} & -8.00 y_{24} & + 10.00 y_{25} & -10.00 y_{26} & +  7.00 y_{27} & -9.00 y_{28} & -3.00 y_{29} & -10.00 y_{30} & +  9.00 y_{31} & +  8.00 y_{32} &   & -1.00 y_{34}\\
 y_{14}   &  1.0 & -8.00 y_{20} & + 10.00 y_{21} & +  2.00 y_{22} & -1.00 y_{23} & -9.00 y_{24} & -6.00 y_{25} & -9.00 y_{26} & +  2.00 y_{27} & +  7.00 y_{28} & -2.00 y_{29} & -4.00 y_{30} & +  8.00 y_{31} & +  5.00 y_{32} & -9.00 y_{33} & -10.00 y_{34}\\
 y_{15}   &  1.0 & +  8.00 y_{20} &   & -5.00 y_{22} & -3.00 y_{23} & +  1.00 y_{24} & +  4.00 y_{25} & -3.00 y_{26} &   & -9.00 y_{28} & -10.00 y_{29} & +  1.00 y_{30} & -7.00 y_{31} & -2.00 y_{32} &   & -1.00 y_{34}\\
 y_{16}   &  1.0 & -2.00 y_{20} & -6.00 y_{21} & +  1.00 y_{22} & +  2.00 y_{23} & +  5.00 y_{24} & +  1.00 y_{25} & +  3.00 y_{26} & +  9.00 y_{27} & +  7.00 y_{28} & -8.00 y_{29} & +  3.00 y_{30} & +  8.00 y_{31} & -8.00 y_{32} & -4.00 y_{33} & +  1.00 y_{34}\\
 y_{17}   &  1.0 & +  4.00 y_{20} & -6.00 y_{21} & +  9.00 y_{22} & -5.00 y_{23} & -2.00 y_{24} & +  4.00 y_{25} & -7.00 y_{26} & +  4.00 y_{27} & +  1.00 y_{28} & +  4.00 y_{29} & -9.00 y_{30} & -1.00 y_{31} & +  5.00 y_{32} & + 10.00 y_{33} & +  1.00 y_{34}\\
 y_{18}   &  1.0 & -9.00 y_{20} & + 10.00 y_{21} & +  3.00 y_{22} & +  8.00 y_{23} & +  9.00 y_{24} & -1.00 y_{25} & +  3.00 y_{26} & +  5.00 y_{27} & +  6.00 y_{28} & +  5.00 y_{29} & +  5.00 y_{30} & -2.00 y_{31} & +  5.00 y_{32} & +  8.00 y_{33} &   \\
 y_{19}   &  1.0 & -10.00 y_{20} & -9.00 y_{21} & +  6.00 y_{22} & -5.00 y_{23} & -1.00 y_{24} & -9.00 y_{25} & +  2.00 y_{26} & -9.00 y_{27} & +  8.00 y_{28} & -4.00 y_{29} & -3.00 y_{30} &   & -3.00 y_{32} & +  4.00 y_{33} & + 10.00 y_{34}\\
\hline
z    &  -0 & -1.00 y_{20} & +  3.00 y_{21} &    &   & +  1.00 y_{24} &   & -2.00 y_{26} &   & -2.00 y_{28} & +  3.00 y_{29} & -1.00 y_{30} & -1.00 y_{31} &   & -2.00 y_{33} & -2.00 y_{34}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 17 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.38812532628 & +  1.14 y_{8} & +  0.57 y_{5} & -0.06 y_{14} & -0.79 y_{10} & +  5.35 y_{29} & -0.48 y_{19} & -6.88 y_{26} & -0.41 y_{15} & -12.28 y_{28} & -11.97 y_{27} & -5.52 y_{30} & +  6.21 y_{31} & +  3.77 y_{32} & +  9.06 y_{33} & -0.36 y_{11}\\
 y_{22}   &  0.395538225833 & -0.12 y_{8} & -0.05 y_{5} & -0.05 y_{14} & +  0.00 y_{10} & -2.51 y_{29} & +  0.01 y_{19} & -0.27 y_{26} & -0.17 y_{15} & -0.59 y_{28} & +  0.77 y_{27} & -0.12 y_{30} & -1.37 y_{31} & -0.35 y_{32} & -1.38 y_{33} & -0.02 y_{11}\\
 y_{3}   &  0.477513667324 & +  0.92 y_{8} & +  1.04 y_{5} & +  0.05 y_{14} & -0.87 y_{10} & + 24.51 y_{29} & +  0.17 y_{19} & -12.79 y_{26} & -0.18 y_{15} & -5.20 y_{28} & -5.05 y_{27} & +  0.12 y_{30} & -2.13 y_{31} & + 18.13 y_{32} & + 14.30 y_{33} & -0.60 y_{11}\\
 y_{4}   &  5.89065366996 & -0.48 y_{8} & -0.93 y_{5} & -0.75 y_{14} & -0.05 y_{10} & -15.70 y_{29} & +  0.30 y_{19} & -23.97 y_{26} & -1.98 y_{15} & -6.60 y_{28} & +  5.21 y_{27} & -3.23 y_{30} & -9.45 y_{31} & +  1.18 y_{32} & -9.00 y_{33} & -1.00 y_{11}\\
 y_{21}   &  0.298952279601 & -0.05 y_{8} & -0.06 y_{5} & -0.02 y_{14} & -0.02 y_{10} & -0.77 y_{29} & +  0.01 y_{19} & -0.63 y_{26} & -0.09 y_{15} & -0.31 y_{28} & +  0.25 y_{27} & -0.42 y_{30} & -0.78 y_{31} & +  0.49 y_{32} & -0.55 y_{33} & -0.06 y_{11}\\
 y_{6}   &  2.07796044863 & -0.40 y_{8} & -0.06 y_{5} & -0.42 y_{14} & -0.33 y_{10} & +  1.48 y_{29} & -0.17 y_{19} & +  2.21 y_{26} & -0.13 y_{15} & +  8.01 y_{28} & -2.39 y_{27} & + 10.85 y_{30} & -6.92 y_{31} & +  5.96 y_{32} & -11.47 y_{33} & +  0.42 y_{11}\\
 y_{7}   &  5.84412551583 & -0.06 y_{8} & -0.16 y_{5} & -0.88 y_{14} & -1.05 y_{10} & -7.56 y_{29} & +  0.09 y_{19} & -13.11 y_{26} & -2.04 y_{15} & -10.04 y_{28} & +  9.58 y_{27} & +  8.74 y_{30} & -18.93 y_{31} & +  1.14 y_{32} & +  1.04 y_{33} & -0.74 y_{11}\\
 y_{34}   &  0.155084128938 & -0.02 y_{8} & -0.03 y_{5} & -0.04 y_{14} & -0.01 y_{10} & -0.08 y_{29} & +  0.05 y_{19} & -0.97 y_{26} & -0.04 y_{15} & -0.08 y_{28} & +  0.57 y_{27} & -0.52 y_{30} & -0.15 y_{31} & +  0.89 y_{32} & -0.60 y_{33} & -0.06 y_{11}\\
 y_{9}   &  3.81414025037 & -0.08 y_{8} & -0.11 y_{5} & -0.93 y_{14} & -0.32 y_{10} & -20.08 y_{29} & +  0.19 y_{19} & -12.93 y_{26} & -1.48 y_{15} & -13.65 y_{28} & -2.17 y_{27} & -6.24 y_{30} & -9.68 y_{31} & -2.37 y_{32} & -7.47 y_{33} & -0.09 y_{11}\\
 y_{24}   &  0.207853349436 & -0.01 y_{8} & -0.04 y_{5} & -0.06 y_{14} & -0.02 y_{10} & -0.81 y_{29} & -0.02 y_{19} & -0.60 y_{26} & -0.07 y_{15} & -0.26 y_{28} & -0.14 y_{27} & +  0.03 y_{30} & +  0.02 y_{31} & +  0.02 y_{32} & -0.66 y_{33} & +  0.02 y_{11}\\
 y_{20}   &  0.00924433173559 & -0.02 y_{8} & +  0.04 y_{5} & -0.01 y_{14} & -0.05 y_{10} & +  0.71 y_{29} & +  0.01 y_{19} & -0.10 y_{26} & +  0.04 y_{15} & +  0.52 y_{28} & +  0.28 y_{27} & +  0.09 y_{30} & +  0.09 y_{31} & +  0.30 y_{32} & +  0.50 y_{33} & -0.02 y_{11}\\
 y_{12}   &  2.21802045023 & +  0.16 y_{8} & +  0.31 y_{5} & -0.14 y_{14} & -1.21 y_{10} & +  7.86 y_{29} & +  0.07 y_{19} & -7.78 y_{26} & -0.23 y_{15} & -8.89 y_{28} & -4.45 y_{27} & +  6.50 y_{30} & -0.49 y_{31} & +  2.69 y_{32} & + 15.36 y_{33} & -0.16 y_{11}\\
 y_{13}   &  5.09220003863 & -1.77 y_{8} & -1.45 y_{5} & -0.32 y_{14} & +  1.44 y_{10} & -45.84 y_{29} & -0.06 y_{19} & -3.74 y_{26} & -1.82 y_{15} & -12.93 y_{28} & + 14.84 y_{27} & -19.15 y_{30} & -7.36 y_{31} & -1.89 y_{32} & -33.13 y_{33} & -0.12 y_{11}\\
 y_{2}   &  1.328194578 & -0.62 y_{8} & -1.43 y_{5} & -0.50 y_{14} & +  1.50 y_{10} & -27.36 y_{29} & +  0.09 y_{19} & + 17.01 y_{26} & +  0.03 y_{15} & +  2.05 y_{28} & + 11.64 y_{27} & -15.53 y_{30} & +  7.18 y_{31} & -8.50 y_{32} & -27.88 y_{33} & +  0.61 y_{11}\\
 y_{23}   &  0.00157677769472 & +  0.07 y_{8} & +  0.07 y_{5} & -0.00 y_{14} & -0.03 y_{10} & -0.20 y_{29} & -0.06 y_{19} & -0.57 y_{26} & -0.06 y_{15} & -0.27 y_{28} & -0.75 y_{27} & +  0.03 y_{30} & -0.16 y_{31} & -0.07 y_{32} & +  1.25 y_{33} & +  0.00 y_{11}\\
 y_{16}   &  0.994764713228 & +  0.21 y_{8} & +  0.09 y_{5} & -0.30 y_{14} & +  0.14 y_{10} & -13.84 y_{29} & -0.27 y_{19} & +  1.72 y_{26} & -0.27 y_{15} & +  5.66 y_{28} & +  6.09 y_{27} & +  4.17 y_{30} & + 10.46 y_{31} & -11.39 y_{32} & -6.23 y_{33} & +  0.41 y_{11}\\
 y_{17}   &  3.39029881129 & -1.46 y_{8} & -0.49 y_{5} & -0.42 y_{14} & +  0.40 y_{10} & -16.65 y_{29} & +  0.29 y_{19} & -2.58 y_{26} & -0.68 y_{15} & +  2.79 y_{28} & + 15.28 y_{27} & -10.73 y_{30} & -8.82 y_{31} & -0.22 y_{32} & -9.80 y_{33} & -0.03 y_{11}\\
 y_{18}   &  6.76230845741 & -0.14 y_{8} & -0.84 y_{5} & -0.83 y_{14} & -0.20 y_{10} & -23.53 y_{29} & -0.65 y_{19} & -13.26 y_{26} & -2.79 y_{15} & -8.36 y_{28} & -0.01 y_{27} & +  0.86 y_{30} & -15.57 y_{31} & +  6.23 y_{32} & -0.21 y_{33} & -0.32 y_{11}\\
 y_{25}   &  0.213924396966 & -0.07 y_{8} & -0.08 y_{5} & -0.05 y_{14} & +  0.08 y_{10} & -2.02 y_{29} & -0.04 y_{19} & +  0.09 y_{26} & -0.07 y_{15} & +  0.33 y_{28} & +  0.03 y_{27} & -0.70 y_{30} & -0.30 y_{31} & -0.37 y_{32} & -1.77 y_{33} & +  0.00 y_{11}\\
\hline
z    &  0.785297598629 & -0.10 y_{8} & -0.22 y_{5} & -0.03 y_{14} & -0.01 y_{10} & -0.68 y_{29} & -0.11 y_{19} & -2.46 y_{26} & -0.30 y_{15} & -3.56 y_{28} & -0.81 y_{27} & -1.26 y_{30} & -3.13 y_{31} & -0.58 y_{32} & -3.61 y_{33} & -0.02 y_{11}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.0961001688228 & -1.14 x_{1} & +  0.12 x_{22} & -0.92 x_{3} & +  0.48 x_{4} & +  0.05 x_{21} & +  0.40 x_{6} & +  0.06 x_{7} & +  0.02 x_{34} & +  0.08 x_{9} & +  0.01 x_{24} & +  0.02 x_{20} & -0.16 x_{12} & +  1.77 x_{13} & +  0.62 x_{2} & -0.07 x_{23} & -0.21 x_{16} & +  1.46 x_{17} & +  0.14 x_{18} & +  0.07 x_{25}\\
 x_{5}   &  0.216395309313 & -0.57 x_{1} & +  0.05 x_{22} & -1.04 x_{3} & +  0.93 x_{4} & +  0.06 x_{21} & +  0.06 x_{6} & +  0.16 x_{7} & +  0.03 x_{34} & +  0.11 x_{9} & +  0.04 x_{24} & -0.04 x_{20} & -0.31 x_{12} & +  1.45 x_{13} & +  1.43 x_{2} & -0.07 x_{23} & -0.09 x_{16} & +  0.49 x_{17} & +  0.84 x_{18} & +  0.08 x_{25}\\
 x_{14}   &  0.0335574487852 & +  0.06 x_{1} & +  0.05 x_{22} & -0.05 x_{3} & +  0.75 x_{4} & +  0.02 x_{21} & +  0.42 x_{6} & +  0.88 x_{7} & +  0.04 x_{34} & +  0.93 x_{9} & +  0.06 x_{24} & +  0.01 x_{20} & +  0.14 x_{12} & +  0.32 x_{13} & +  0.50 x_{2} & +  0.00 x_{23} & +  0.30 x_{16} & +  0.42 x_{17} & +  0.83 x_{18} & +  0.05 x_{25}\\
 x_{10}   &  0.00613257413468 & +  0.79 x_{1} & -0.00 x_{22} & +  0.87 x_{3} & +  0.05 x_{4} & +  0.02 x_{21} & +  0.33 x_{6} & +  1.05 x_{7} & +  0.01 x_{34} & +  0.32 x_{9} & +  0.02 x_{24} & +  0.05 x_{20} & +  1.21 x_{12} & -1.44 x_{13} & -1.50 x_{2} & +  0.03 x_{23} & -0.14 x_{16} & -0.40 x_{17} & +  0.20 x_{18} & -0.08 x_{25}\\
 x_{29}   &  0.684557095227 & -5.35 x_{1} & +  2.51 x_{22} & -24.51 x_{3} & + 15.70 x_{4} & +  0.77 x_{21} & -1.48 x_{6} & +  7.56 x_{7} & +  0.08 x_{34} & + 20.08 x_{9} & +  0.81 x_{24} & -0.71 x_{20} & -7.86 x_{12} & + 45.84 x_{13} & + 27.36 x_{2} & +  0.20 x_{23} & + 13.84 x_{16} & + 16.65 x_{17} & + 23.53 x_{18} & +  2.02 x_{25}\\
 x_{19}   &  0.113842257486 & +  0.48 x_{1} & -0.01 x_{22} & -0.17 x_{3} & -0.30 x_{4} & -0.01 x_{21} & +  0.17 x_{6} & -0.09 x_{7} & -0.05 x_{34} & -0.19 x_{9} & +  0.02 x_{24} & -0.01 x_{20} & -0.07 x_{12} & +  0.06 x_{13} & -0.09 x_{2} & +  0.06 x_{23} & +  0.27 x_{16} & -0.29 x_{17} & +  0.65 x_{18} & +  0.04 x_{25}\\
 x_{26}   &  2.46068966741 & +  6.88 x_{1} & +  0.27 x_{22} & + 12.79 x_{3} & + 23.97 x_{4} & +  0.63 x_{21} & -2.21 x_{6} & + 13.11 x_{7} & +  0.97 x_{34} & + 12.93 x_{9} & +  0.60 x_{24} & +  0.10 x_{20} & +  7.78 x_{12} & +  3.74 x_{13} & -17.01 x_{2} & +  0.57 x_{23} & -1.72 x_{16} & +  2.58 x_{17} & + 13.26 x_{18} & -0.09 x_{25}\\
 x_{15}   &  0.297023925951 & +  0.41 x_{1} & +  0.17 x_{22} & +  0.18 x_{3} & +  1.98 x_{4} & +  0.09 x_{21} & +  0.13 x_{6} & +  2.04 x_{7} & +  0.04 x_{34} & +  1.48 x_{9} & +  0.07 x_{24} & -0.04 x_{20} & +  0.23 x_{12} & +  1.82 x_{13} & -0.03 x_{2} & +  0.06 x_{23} & +  0.27 x_{16} & +  0.68 x_{17} & +  2.79 x_{18} & +  0.07 x_{25}\\
 x_{28}   &  3.55893653945 & + 12.28 x_{1} & +  0.59 x_{22} & +  5.20 x_{3} & +  6.60 x_{4} & +  0.31 x_{21} & -8.01 x_{6} & + 10.04 x_{7} & +  0.08 x_{34} & + 13.65 x_{9} & +  0.26 x_{24} & -0.52 x_{20} & +  8.89 x_{12} & + 12.93 x_{13} & -2.05 x_{2} & +  0.27 x_{23} & -5.66 x_{16} & -2.79 x_{17} & +  8.36 x_{18} & -0.33 x_{25}\\
 x_{27}   &  0.813655025495 & + 11.97 x_{1} & -0.77 x_{22} & +  5.05 x_{3} & -5.21 x_{4} & -0.25 x_{21} & +  2.39 x_{6} & -9.58 x_{7} & -0.57 x_{34} & +  2.17 x_{9} & +  0.14 x_{24} & -0.28 x_{20} & +  4.45 x_{12} & -14.84 x_{13} & -11.64 x_{2} & +  0.75 x_{23} & -6.09 x_{16} & -15.28 x_{17} & +  0.01 x_{18} & -0.03 x_{25}\\
 x_{30}   &  1.26216359524 & +  5.52 x_{1} & +  0.12 x_{22} & -0.12 x_{3} & +  3.23 x_{4} & +  0.42 x_{21} & -10.85 x_{6} & -8.74 x_{7} & +  0.52 x_{34} & +  6.24 x_{9} & -0.03 x_{24} & -0.09 x_{20} & -6.50 x_{12} & + 19.15 x_{13} & + 15.53 x_{2} & -0.03 x_{23} & -4.17 x_{16} & + 10.73 x_{17} & -0.86 x_{18} & +  0.70 x_{25}\\
 x_{31}   &  3.12543782858 & -6.21 x_{1} & +  1.37 x_{22} & +  2.13 x_{3} & +  9.45 x_{4} & +  0.78 x_{21} & +  6.92 x_{6} & + 18.93 x_{7} & +  0.15 x_{34} & +  9.68 x_{9} & -0.02 x_{24} & -0.09 x_{20} & +  0.49 x_{12} & +  7.36 x_{13} & -7.18 x_{2} & +  0.16 x_{23} & -10.46 x_{16} & +  8.82 x_{17} & + 15.57 x_{18} & +  0.30 x_{25}\\
 x_{32}   &  0.580773316292 & -3.77 x_{1} & +  0.35 x_{22} & -18.13 x_{3} & -1.18 x_{4} & -0.49 x_{21} & -5.96 x_{6} & -1.14 x_{7} & -0.89 x_{34} & +  2.37 x_{9} & -0.02 x_{24} & -0.30 x_{20} & -2.69 x_{12} & +  1.89 x_{13} & +  8.50 x_{2} & +  0.07 x_{23} & + 11.39 x_{16} & +  0.22 x_{17} & -6.23 x_{18} & +  0.37 x_{25}\\
 x_{33}   &  3.60582254245 & -9.06 x_{1} & +  1.38 x_{22} & -14.30 x_{3} & +  9.00 x_{4} & +  0.55 x_{21} & + 11.47 x_{6} & -1.04 x_{7} & +  0.60 x_{34} & +  7.47 x_{9} & +  0.66 x_{24} & -0.50 x_{20} & -15.36 x_{12} & + 33.13 x_{13} & + 27.88 x_{2} & -1.25 x_{23} & +  6.23 x_{16} & +  9.80 x_{17} & +  0.21 x_{18} & +  1.77 x_{25}\\
 x_{11}   &  0.0222459141362 & +  0.36 x_{1} & +  0.02 x_{22} & +  0.60 x_{3} & +  1.00 x_{4} & +  0.06 x_{21} & -0.42 x_{6} & +  0.74 x_{7} & +  0.06 x_{34} & +  0.09 x_{9} & -0.02 x_{24} & +  0.02 x_{20} & +  0.16 x_{12} & +  0.12 x_{13} & -0.61 x_{2} & -0.00 x_{23} & -0.41 x_{16} & +  0.03 x_{17} & +  0.32 x_{18} & -0.00 x_{25}\\
\hline
z    &  -0.785297598629 & -1.39 x_{1} & -0.40 x_{22} & -0.48 x_{3} & -5.89 x_{4} & -0.30 x_{21} & -2.08 x_{6} & -5.84 x_{7} & -0.16 x_{34} & -3.81 x_{9} & -0.21 x_{24} & -0.01 x_{20} & -2.22 x_{12} & -5.09 x_{13} & -1.33 x_{2} & -0.00 x_{23} & -0.99 x_{16} & -3.39 x_{17} & -6.76 x_{18} & -0.21 x_{25}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.0961001688228 & -1.14 x_{1} & +  0.12 x_{22} & -0.92 x_{3} & +  0.48 x_{4} & +  0.05 x_{21} & +  0.40 x_{6} & +  0.06 x_{7} & +  0.02 x_{34} & +  0.08 x_{9} & +  0.01 x_{24} & +  0.02 x_{20} & -0.16 x_{12} & +  1.77 x_{13} & +  0.62 x_{2} & -0.07 x_{23} & -0.21 x_{16} & +  1.46 x_{17} & +  0.14 x_{18} & +  0.07 x_{25}\\
 x_{5}   &  0.216395309313 & -0.57 x_{1} & +  0.05 x_{22} & -1.04 x_{3} & +  0.93 x_{4} & +  0.06 x_{21} & +  0.06 x_{6} & +  0.16 x_{7} & +  0.03 x_{34} & +  0.11 x_{9} & +  0.04 x_{24} & -0.04 x_{20} & -0.31 x_{12} & +  1.45 x_{13} & +  1.43 x_{2} & -0.07 x_{23} & -0.09 x_{16} & +  0.49 x_{17} & +  0.84 x_{18} & +  0.08 x_{25}\\
 x_{14}   &  0.0335574487852 & +  0.06 x_{1} & +  0.05 x_{22} & -0.05 x_{3} & +  0.75 x_{4} & +  0.02 x_{21} & +  0.42 x_{6} & +  0.88 x_{7} & +  0.04 x_{34} & +  0.93 x_{9} & +  0.06 x_{24} & +  0.01 x_{20} & +  0.14 x_{12} & +  0.32 x_{13} & +  0.50 x_{2} & +  0.00 x_{23} & +  0.30 x_{16} & +  0.42 x_{17} & +  0.83 x_{18} & +  0.05 x_{25}\\
 x_{10}   &  0.00613257413468 & +  0.79 x_{1} & -0.00 x_{22} & +  0.87 x_{3} & +  0.05 x_{4} & +  0.02 x_{21} & +  0.33 x_{6} & +  1.05 x_{7} & +  0.01 x_{34} & +  0.32 x_{9} & +  0.02 x_{24} & +  0.05 x_{20} & +  1.21 x_{12} & -1.44 x_{13} & -1.50 x_{2} & +  0.03 x_{23} & -0.14 x_{16} & -0.40 x_{17} & +  0.20 x_{18} & -0.08 x_{25}\\
 x_{29}   &  0.684557095227 & -5.35 x_{1} & +  2.51 x_{22} & -24.51 x_{3} & + 15.70 x_{4} & +  0.77 x_{21} & -1.48 x_{6} & +  7.56 x_{7} & +  0.08 x_{34} & + 20.08 x_{9} & +  0.81 x_{24} & -0.71 x_{20} & -7.86 x_{12} & + 45.84 x_{13} & + 27.36 x_{2} & +  0.20 x_{23} & + 13.84 x_{16} & + 16.65 x_{17} & + 23.53 x_{18} & +  2.02 x_{25}\\
 x_{19}   &  0.113842257486 & +  0.48 x_{1} & -0.01 x_{22} & -0.17 x_{3} & -0.30 x_{4} & -0.01 x_{21} & +  0.17 x_{6} & -0.09 x_{7} & -0.05 x_{34} & -0.19 x_{9} & +  0.02 x_{24} & -0.01 x_{20} & -0.07 x_{12} & +  0.06 x_{13} & -0.09 x_{2} & +  0.06 x_{23} & +  0.27 x_{16} & -0.29 x_{17} & +  0.65 x_{18} & +  0.04 x_{25}\\
 x_{26}   &  2.46068966741 & +  6.88 x_{1} & +  0.27 x_{22} & + 12.79 x_{3} & + 23.97 x_{4} & +  0.63 x_{21} & -2.21 x_{6} & + 13.11 x_{7} & +  0.97 x_{34} & + 12.93 x_{9} & +  0.60 x_{24} & +  0.10 x_{20} & +  7.78 x_{12} & +  3.74 x_{13} & -17.01 x_{2} & +  0.57 x_{23} & -1.72 x_{16} & +  2.58 x_{17} & + 13.26 x_{18} & -0.09 x_{25}\\
 x_{15}   &  0.297023925951 & +  0.41 x_{1} & +  0.17 x_{22} & +  0.18 x_{3} & +  1.98 x_{4} & +  0.09 x_{21} & +  0.13 x_{6} & +  2.04 x_{7} & +  0.04 x_{34} & +  1.48 x_{9} & +  0.07 x_{24} & -0.04 x_{20} & +  0.23 x_{12} & +  1.82 x_{13} & -0.03 x_{2} & +  0.06 x_{23} & +  0.27 x_{16} & +  0.68 x_{17} & +  2.79 x_{18} & +  0.07 x_{25}\\
 x_{28}   &  3.55893653945 & + 12.28 x_{1} & +  0.59 x_{22} & +  5.20 x_{3} & +  6.60 x_{4} & +  0.31 x_{21} & -8.01 x_{6} & + 10.04 x_{7} & +  0.08 x_{34} & + 13.65 x_{9} & +  0.26 x_{24} & -0.52 x_{20} & +  8.89 x_{12} & + 12.93 x_{13} & -2.05 x_{2} & +  0.27 x_{23} & -5.66 x_{16} & -2.79 x_{17} & +  8.36 x_{18} & -0.33 x_{25}\\
 x_{27}   &  0.813655025495 & + 11.97 x_{1} & -0.77 x_{22} & +  5.05 x_{3} & -5.21 x_{4} & -0.25 x_{21} & +  2.39 x_{6} & -9.58 x_{7} & -0.57 x_{34} & +  2.17 x_{9} & +  0.14 x_{24} & -0.28 x_{20} & +  4.45 x_{12} & -14.84 x_{13} & -11.64 x_{2} & +  0.75 x_{23} & -6.09 x_{16} & -15.28 x_{17} & +  0.01 x_{18} & -0.03 x_{25}\\
 x_{30}   &  1.26216359524 & +  5.52 x_{1} & +  0.12 x_{22} & -0.12 x_{3} & +  3.23 x_{4} & +  0.42 x_{21} & -10.85 x_{6} & -8.74 x_{7} & +  0.52 x_{34} & +  6.24 x_{9} & -0.03 x_{24} & -0.09 x_{20} & -6.50 x_{12} & + 19.15 x_{13} & + 15.53 x_{2} & -0.03 x_{23} & -4.17 x_{16} & + 10.73 x_{17} & -0.86 x_{18} & +  0.70 x_{25}\\
 x_{31}   &  3.12543782858 & -6.21 x_{1} & +  1.37 x_{22} & +  2.13 x_{3} & +  9.45 x_{4} & +  0.78 x_{21} & +  6.92 x_{6} & + 18.93 x_{7} & +  0.15 x_{34} & +  9.68 x_{9} & -0.02 x_{24} & -0.09 x_{20} & +  0.49 x_{12} & +  7.36 x_{13} & -7.18 x_{2} & +  0.16 x_{23} & -10.46 x_{16} & +  8.82 x_{17} & + 15.57 x_{18} & +  0.30 x_{25}\\
 x_{32}   &  0.580773316292 & -3.77 x_{1} & +  0.35 x_{22} & -18.13 x_{3} & -1.18 x_{4} & -0.49 x_{21} & -5.96 x_{6} & -1.14 x_{7} & -0.89 x_{34} & +  2.37 x_{9} & -0.02 x_{24} & -0.30 x_{20} & -2.69 x_{12} & +  1.89 x_{13} & +  8.50 x_{2} & +  0.07 x_{23} & + 11.39 x_{16} & +  0.22 x_{17} & -6.23 x_{18} & +  0.37 x_{25}\\
 x_{33}   &  3.60582254245 & -9.06 x_{1} & +  1.38 x_{22} & -14.30 x_{3} & +  9.00 x_{4} & +  0.55 x_{21} & + 11.47 x_{6} & -1.04 x_{7} & +  0.60 x_{34} & +  7.47 x_{9} & +  0.66 x_{24} & -0.50 x_{20} & -15.36 x_{12} & + 33.13 x_{13} & + 27.88 x_{2} & -1.25 x_{23} & +  6.23 x_{16} & +  9.80 x_{17} & +  0.21 x_{18} & +  1.77 x_{25}\\
 x_{11}   &  0.0222459141362 & +  0.36 x_{1} & +  0.02 x_{22} & +  0.60 x_{3} & +  1.00 x_{4} & +  0.06 x_{21} & -0.42 x_{6} & +  0.74 x_{7} & +  0.06 x_{34} & +  0.09 x_{9} & -0.02 x_{24} & +  0.02 x_{20} & +  0.16 x_{12} & +  0.12 x_{13} & -0.61 x_{2} & -0.00 x_{23} & -0.41 x_{16} & +  0.03 x_{17} & +  0.32 x_{18} & -0.00 x_{25}\\
\hline
z    &  1.14138960031 & -7.14 x_{1} & +  1.43 x_{22} & +  1.16 x_{3} & + 17.90 x_{4} & +  0.83 x_{21} & +  5.54 x_{6} & + 12.27 x_{7} & +  0.83 x_{34} & + 11.13 x_{9} & +  0.45 x_{24} & +  0.14 x_{20} & +  1.28 x_{12} & + 17.18 x_{13} & +  5.46 x_{2} & -0.16 x_{23} & +  1.39 x_{16} & + 12.05 x_{17} & + 13.61 x_{18} & +  0.47 x_{25}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.0961001688228 & -1.14 x_{1} & +  0.12 x_{22} & -0.92 x_{3} & +  0.48 x_{4} & +  0.05 x_{21} & +  0.40 x_{6} & +  0.06 x_{7} & +  0.02 x_{34} & +  0.08 x_{9} & +  0.01 x_{24} & +  0.02 x_{20} & -0.16 x_{12} & +  1.77 x_{13} & +  0.62 x_{2} & -0.07 x_{23} & -0.21 x_{16} & +  1.46 x_{17} & +  0.14 x_{18} & +  0.07 x_{25}\\
 x_{5}   &  0.216395309313 & -0.57 x_{1} & +  0.05 x_{22} & -1.04 x_{3} & +  0.93 x_{4} & +  0.06 x_{21} & +  0.06 x_{6} & +  0.16 x_{7} & +  0.03 x_{34} & +  0.11 x_{9} & +  0.04 x_{24} & -0.04 x_{20} & -0.31 x_{12} & +  1.45 x_{13} & +  1.43 x_{2} & -0.07 x_{23} & -0.09 x_{16} & +  0.49 x_{17} & +  0.84 x_{18} & +  0.08 x_{25}\\
 x_{14}   &  0.0335574487852 & +  0.06 x_{1} & +  0.05 x_{22} & -0.05 x_{3} & +  0.75 x_{4} & +  0.02 x_{21} & +  0.42 x_{6} & +  0.88 x_{7} & +  0.04 x_{34} & +  0.93 x_{9} & +  0.06 x_{24} & +  0.01 x_{20} & +  0.14 x_{12} & +  0.32 x_{13} & +  0.50 x_{2} & +  0.00 x_{23} & +  0.30 x_{16} & +  0.42 x_{17} & +  0.83 x_{18} & +  0.05 x_{25}\\
 x_{10}   &  0.00613257413468 & +  0.79 x_{1} & -0.00 x_{22} & +  0.87 x_{3} & +  0.05 x_{4} & +  0.02 x_{21} & +  0.33 x_{6} & +  1.05 x_{7} & +  0.01 x_{34} & +  0.32 x_{9} & +  0.02 x_{24} & +  0.05 x_{20} & +  1.21 x_{12} & -1.44 x_{13} & -1.50 x_{2} & +  0.03 x_{23} & -0.14 x_{16} & -0.40 x_{17} & +  0.20 x_{18} & -0.08 x_{25}\\
 x_{29}   &  0.684557095227 & -5.35 x_{1} & +  2.51 x_{22} & -24.51 x_{3} & + 15.70 x_{4} & +  0.77 x_{21} & -1.48 x_{6} & +  7.56 x_{7} & +  0.08 x_{34} & + 20.08 x_{9} & +  0.81 x_{24} & -0.71 x_{20} & -7.86 x_{12} & + 45.84 x_{13} & + 27.36 x_{2} & +  0.20 x_{23} & + 13.84 x_{16} & + 16.65 x_{17} & + 23.53 x_{18} & +  2.02 x_{25}\\
 x_{19}   &  0.113842257486 & +  0.48 x_{1} & -0.01 x_{22} & -0.17 x_{3} & -0.30 x_{4} & -0.01 x_{21} & +  0.17 x_{6} & -0.09 x_{7} & -0.05 x_{34} & -0.19 x_{9} & +  0.02 x_{24} & -0.01 x_{20} & -0.07 x_{12} & +  0.06 x_{13} & -0.09 x_{2} & +  0.06 x_{23} & +  0.27 x_{16} & -0.29 x_{17} & +  0.65 x_{18} & +  0.04 x_{25}\\
 x_{26}   &  2.46068966741 & +  6.88 x_{1} & +  0.27 x_{22} & + 12.79 x_{3} & + 23.97 x_{4} & +  0.63 x_{21} & -2.21 x_{6} & + 13.11 x_{7} & +  0.97 x_{34} & + 12.93 x_{9} & +  0.60 x_{24} & +  0.10 x_{20} & +  7.78 x_{12} & +  3.74 x_{13} & -17.01 x_{2} & +  0.57 x_{23} & -1.72 x_{16} & +  2.58 x_{17} & + 13.26 x_{18} & -0.09 x_{25}\\
 x_{15}   &  0.297023925951 & +  0.41 x_{1} & +  0.17 x_{22} & +  0.18 x_{3} & +  1.98 x_{4} & +  0.09 x_{21} & +  0.13 x_{6} & +  2.04 x_{7} & +  0.04 x_{34} & +  1.48 x_{9} & +  0.07 x_{24} & -0.04 x_{20} & +  0.23 x_{12} & +  1.82 x_{13} & -0.03 x_{2} & +  0.06 x_{23} & +  0.27 x_{16} & +  0.68 x_{17} & +  2.79 x_{18} & +  0.07 x_{25}\\
 x_{28}   &  3.55893653945 & + 12.28 x_{1} & +  0.59 x_{22} & +  5.20 x_{3} & +  6.60 x_{4} & +  0.31 x_{21} & -8.01 x_{6} & + 10.04 x_{7} & +  0.08 x_{34} & + 13.65 x_{9} & +  0.26 x_{24} & -0.52 x_{20} & +  8.89 x_{12} & + 12.93 x_{13} & -2.05 x_{2} & +  0.27 x_{23} & -5.66 x_{16} & -2.79 x_{17} & +  8.36 x_{18} & -0.33 x_{25}\\
 x_{27}   &  0.813655025495 & + 11.97 x_{1} & -0.77 x_{22} & +  5.05 x_{3} & -5.21 x_{4} & -0.25 x_{21} & +  2.39 x_{6} & -9.58 x_{7} & -0.57 x_{34} & +  2.17 x_{9} & +  0.14 x_{24} & -0.28 x_{20} & +  4.45 x_{12} & -14.84 x_{13} & -11.64 x_{2} & +  0.75 x_{23} & -6.09 x_{16} & -15.28 x_{17} & +  0.01 x_{18} & -0.03 x_{25}\\
 x_{30}   &  1.26216359524 & +  5.52 x_{1} & +  0.12 x_{22} & -0.12 x_{3} & +  3.23 x_{4} & +  0.42 x_{21} & -10.85 x_{6} & -8.74 x_{7} & +  0.52 x_{34} & +  6.24 x_{9} & -0.03 x_{24} & -0.09 x_{20} & -6.50 x_{12} & + 19.15 x_{13} & + 15.53 x_{2} & -0.03 x_{23} & -4.17 x_{16} & + 10.73 x_{17} & -0.86 x_{18} & +  0.70 x_{25}\\
 x_{31}   &  3.12543782858 & -6.21 x_{1} & +  1.37 x_{22} & +  2.13 x_{3} & +  9.45 x_{4} & +  0.78 x_{21} & +  6.92 x_{6} & + 18.93 x_{7} & +  0.15 x_{34} & +  9.68 x_{9} & -0.02 x_{24} & -0.09 x_{20} & +  0.49 x_{12} & +  7.36 x_{13} & -7.18 x_{2} & +  0.16 x_{23} & -10.46 x_{16} & +  8.82 x_{17} & + 15.57 x_{18} & +  0.30 x_{25}\\
 x_{32}   &  0.580773316292 & -3.77 x_{1} & +  0.35 x_{22} & -18.13 x_{3} & -1.18 x_{4} & -0.49 x_{21} & -5.96 x_{6} & -1.14 x_{7} & -0.89 x_{34} & +  2.37 x_{9} & -0.02 x_{24} & -0.30 x_{20} & -2.69 x_{12} & +  1.89 x_{13} & +  8.50 x_{2} & +  0.07 x_{23} & + 11.39 x_{16} & +  0.22 x_{17} & -6.23 x_{18} & +  0.37 x_{25}\\
 x_{33}   &  3.60582254245 & -9.06 x_{1} & +  1.38 x_{22} & -14.30 x_{3} & +  9.00 x_{4} & +  0.55 x_{21} & + 11.47 x_{6} & -1.04 x_{7} & +  0.60 x_{34} & +  7.47 x_{9} & +  0.66 x_{24} & -0.50 x_{20} & -15.36 x_{12} & + 33.13 x_{13} & + 27.88 x_{2} & -1.25 x_{23} & +  6.23 x_{16} & +  9.80 x_{17} & +  0.21 x_{18} & +  1.77 x_{25}\\
 x_{11}   &  0.0222459141362 & +  0.36 x_{1} & +  0.02 x_{22} & +  0.60 x_{3} & +  1.00 x_{4} & +  0.06 x_{21} & -0.42 x_{6} & +  0.74 x_{7} & +  0.06 x_{34} & +  0.09 x_{9} & -0.02 x_{24} & +  0.02 x_{20} & +  0.16 x_{12} & +  0.12 x_{13} & -0.61 x_{2} & -0.00 x_{23} & -0.41 x_{16} & +  0.03 x_{17} & +  0.32 x_{18} & -0.00 x_{25}\\
\hline
z    &  1.14138960031 & -7.14 x_{1} & +  1.43 x_{22} & +  1.16 x_{3} & + 17.90 x_{4} & +  0.83 x_{21} & +  5.54 x_{6} & + 12.27 x_{7} & +  0.83 x_{34} & + 11.13 x_{9} & +  0.45 x_{24} & +  0.14 x_{20} & +  1.28 x_{12} & + 17.18 x_{13} & +  5.46 x_{2} & -0.16 x_{23} & +  1.39 x_{16} & + 12.05 x_{17} & + 13.61 x_{18} & +  0.47 x_{25}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{10} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.0986410628438 & -0.82 x_{1} & +  0.12 x_{22} & -0.56 x_{3} & +  0.50 x_{4} & +  0.05 x_{21} & +  0.53 x_{6} & +  0.49 x_{7} & +  0.02 x_{34} & +  0.21 x_{9} & +  0.01 x_{24} & +  0.04 x_{20} & +  0.34 x_{12} & +  1.18 x_{13} & -0.41 x_{10} & -0.05 x_{23} & -0.27 x_{16} & +  1.30 x_{17} & +  0.22 x_{18} & +  0.04 x_{25}\\
 x_{5}   &  0.222255835592 & +  0.18 x_{1} & +  0.05 x_{22} & -0.20 x_{3} & +  0.98 x_{4} & +  0.08 x_{21} & +  0.37 x_{6} & +  1.16 x_{7} & +  0.04 x_{34} & +  0.42 x_{9} & +  0.06 x_{24} & +  0.01 x_{20} & +  0.85 x_{12} & +  0.07 x_{13} & -0.96 x_{10} & -0.05 x_{23} & -0.23 x_{16} & +  0.11 x_{17} & +  1.03 x_{18} & +  0.00 x_{25}\\
 x_{14}   &  0.0355890518248 & +  0.32 x_{1} & +  0.05 x_{22} & +  0.24 x_{3} & +  0.76 x_{4} & +  0.03 x_{21} & +  0.53 x_{6} & +  1.23 x_{7} & +  0.05 x_{34} & +  1.04 x_{9} & +  0.07 x_{24} & +  0.02 x_{20} & +  0.55 x_{12} & -0.16 x_{13} & -0.33 x_{10} & +  0.01 x_{23} & +  0.26 x_{16} & +  0.29 x_{17} & +  0.90 x_{18} & +  0.02 x_{25}\\
 x_{2}   &  0.00410176352658 & +  0.53 x_{1} & -0.00 x_{22} & +  0.59 x_{3} & +  0.03 x_{4} & +  0.01 x_{21} & +  0.22 x_{6} & +  0.70 x_{7} & +  0.01 x_{34} & +  0.21 x_{9} & +  0.01 x_{24} & +  0.03 x_{20} & +  0.81 x_{12} & -0.96 x_{13} & -0.67 x_{10} & +  0.02 x_{23} & -0.09 x_{16} & -0.27 x_{17} & +  0.13 x_{18} & -0.05 x_{25}\\
 x_{29}   &  0.796780119327 & +  9.02 x_{1} & +  2.50 x_{22} & -8.50 x_{3} & + 16.61 x_{4} & +  1.12 x_{21} & +  4.57 x_{6} & + 26.74 x_{7} & +  0.25 x_{34} & + 25.91 x_{9} & +  1.12 x_{24} & +  0.18 x_{20} & + 14.25 x_{12} & + 19.46 x_{13} & -18.30 x_{10} & +  0.69 x_{23} & + 11.26 x_{16} & +  9.37 x_{17} & + 27.15 x_{18} & +  0.57 x_{25}\\
 x_{19}   &  0.113481211196 & +  0.44 x_{1} & -0.01 x_{22} & -0.22 x_{3} & -0.30 x_{4} & -0.01 x_{21} & +  0.15 x_{6} & -0.15 x_{7} & -0.05 x_{34} & -0.21 x_{9} & +  0.02 x_{24} & -0.01 x_{20} & -0.14 x_{12} & +  0.15 x_{13} & +  0.06 x_{10} & +  0.05 x_{23} & +  0.28 x_{16} & -0.27 x_{17} & +  0.63 x_{18} & +  0.04 x_{25}\\
 x_{26}   &  2.39089857278 & -2.06 x_{1} & +  0.27 x_{22} & +  2.84 x_{3} & + 23.40 x_{4} & +  0.42 x_{21} & -5.97 x_{6} & +  1.18 x_{7} & +  0.86 x_{34} & +  9.31 x_{9} & +  0.40 x_{24} & -0.45 x_{20} & -5.97 x_{12} & + 20.15 x_{13} & + 11.38 x_{10} & +  0.26 x_{23} & -0.11 x_{16} & +  7.11 x_{17} & + 11.01 x_{18} & +  0.81 x_{25}\\
 x_{15}   &  0.296917923034 & +  0.40 x_{1} & +  0.17 x_{22} & +  0.16 x_{3} & +  1.98 x_{4} & +  0.09 x_{21} & +  0.12 x_{6} & +  2.02 x_{7} & +  0.04 x_{34} & +  1.48 x_{9} & +  0.07 x_{24} & -0.04 x_{20} & +  0.21 x_{12} & +  1.84 x_{13} & +  0.02 x_{10} & +  0.06 x_{23} & +  0.27 x_{16} & +  0.68 x_{17} & +  2.79 x_{18} & +  0.07 x_{25}\\
 x_{28}   &  3.55053961271 & + 11.21 x_{1} & +  0.59 x_{22} & +  4.00 x_{3} & +  6.53 x_{4} & +  0.29 x_{21} & -8.46 x_{6} & +  8.61 x_{7} & +  0.06 x_{34} & + 13.22 x_{9} & +  0.24 x_{24} & -0.58 x_{20} & +  7.24 x_{12} & + 14.90 x_{13} & +  1.37 x_{10} & +  0.23 x_{23} & -5.46 x_{16} & -2.24 x_{17} & +  8.09 x_{18} & -0.22 x_{25}\\
 x_{27}   &  0.765902219498 & +  5.85 x_{1} & -0.77 x_{22} & -1.77 x_{3} & -5.60 x_{4} & -0.40 x_{21} & -0.18 x_{6} & -17.74 x_{7} & -0.65 x_{34} & -0.31 x_{9} & +  0.01 x_{24} & -0.65 x_{20} & -4.96 x_{12} & -3.61 x_{13} & +  7.79 x_{10} & +  0.54 x_{23} & -5.00 x_{16} & -12.18 x_{17} & -1.53 x_{18} & +  0.59 x_{25}\\
 x_{30}   &  1.32584539715 & + 13.68 x_{1} & +  0.11 x_{22} & +  8.97 x_{3} & +  3.75 x_{4} & +  0.61 x_{21} & -7.42 x_{6} & +  2.14 x_{7} & +  0.62 x_{34} & +  9.54 x_{9} & +  0.15 x_{24} & +  0.41 x_{20} & +  6.04 x_{12} & +  4.18 x_{13} & -10.38 x_{10} & +  0.25 x_{23} & -5.64 x_{16} & +  6.60 x_{17} & +  1.19 x_{18} & -0.12 x_{25}\\
 x_{31}   &  3.09597637959 & -9.98 x_{1} & +  1.37 x_{22} & -2.07 x_{3} & +  9.21 x_{4} & +  0.69 x_{21} & +  5.33 x_{6} & + 13.89 x_{7} & +  0.10 x_{34} & +  8.15 x_{9} & -0.10 x_{24} & -0.32 x_{20} & -5.31 x_{12} & + 14.29 x_{13} & +  4.80 x_{10} & +  0.04 x_{23} & -9.79 x_{16} & + 10.73 x_{17} & + 14.62 x_{18} & +  0.68 x_{25}\\
 x_{32}   &  0.615644483741 & +  0.70 x_{1} & +  0.35 x_{22} & -13.15 x_{3} & -0.89 x_{4} & -0.38 x_{21} & -4.08 x_{6} & +  4.82 x_{7} & -0.84 x_{34} & +  4.18 x_{9} & +  0.08 x_{24} & -0.02 x_{20} & +  4.18 x_{12} & -6.31 x_{13} & -5.69 x_{10} & +  0.22 x_{23} & + 10.59 x_{16} & -2.04 x_{17} & -5.10 x_{18} & -0.08 x_{25}\\
 x_{33}   &  3.72017664961 & +  5.58 x_{1} & +  1.38 x_{22} & +  2.02 x_{3} & +  9.93 x_{4} & +  0.90 x_{21} & + 17.63 x_{6} & + 18.51 x_{7} & +  0.77 x_{34} & + 13.41 x_{9} & +  0.97 x_{24} & +  0.41 x_{20} & +  7.17 x_{12} & +  6.24 x_{13} & -18.65 x_{10} & -0.75 x_{23} & +  3.60 x_{16} & +  2.39 x_{17} & +  3.90 x_{18} & +  0.29 x_{25}\\
 x_{11}   &  0.0197586906878 & +  0.04 x_{1} & +  0.02 x_{22} & +  0.24 x_{3} & +  0.98 x_{4} & +  0.05 x_{21} & -0.55 x_{6} & +  0.32 x_{7} & +  0.06 x_{34} & -0.04 x_{9} & -0.02 x_{24} & +  0.00 x_{20} & -0.33 x_{12} & +  0.70 x_{13} & +  0.41 x_{10} & -0.01 x_{23} & -0.36 x_{16} & +  0.19 x_{17} & +  0.24 x_{18} & +  0.03 x_{25}\\
\hline
z    &  1.16378541195 & -4.27 x_{1} & +  1.43 x_{22} & +  4.35 x_{3} & + 18.08 x_{4} & +  0.90 x_{21} & +  6.75 x_{6} & + 16.09 x_{7} & +  0.86 x_{34} & + 12.29 x_{9} & +  0.51 x_{24} & +  0.32 x_{20} & +  5.69 x_{12} & + 11.92 x_{13} & -3.65 x_{10} & -0.06 x_{23} & +  0.88 x_{16} & + 10.59 x_{17} & + 14.33 x_{18} & +  0.18 x_{25}\\
\end{array}\]


 $ x_{3} $ enters and $ x_{32} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.0725586733437 & -0.85 x_{1} & +  0.10 x_{22} & +  0.04 x_{32} & +  0.54 x_{4} & +  0.07 x_{21} & +  0.71 x_{6} & +  0.29 x_{7} & +  0.06 x_{34} & +  0.03 x_{9} & +  0.01 x_{24} & +  0.04 x_{20} & +  0.17 x_{12} & +  1.44 x_{13} & -0.17 x_{10} & -0.06 x_{23} & -0.71 x_{16} & +  1.39 x_{17} & +  0.43 x_{18} & +  0.04 x_{25}\\
 x_{5}   &  0.212788410899 & +  0.17 x_{1} & +  0.04 x_{22} & +  0.02 x_{32} & +  0.99 x_{4} & +  0.09 x_{21} & +  0.44 x_{6} & +  1.09 x_{7} & +  0.05 x_{34} & +  0.35 x_{9} & +  0.06 x_{24} & +  0.01 x_{20} & +  0.78 x_{12} & +  0.16 x_{13} & -0.87 x_{10} & -0.05 x_{23} & -0.39 x_{16} & +  0.14 x_{17} & +  1.11 x_{18} & +  0.00 x_{25}\\
 x_{14}   &  0.0469498234537 & +  0.33 x_{1} & +  0.05 x_{22} & -0.02 x_{32} & +  0.75 x_{4} & +  0.02 x_{21} & +  0.46 x_{6} & +  1.32 x_{7} & +  0.03 x_{34} & +  1.11 x_{9} & +  0.07 x_{24} & +  0.02 x_{20} & +  0.62 x_{12} & -0.27 x_{13} & -0.44 x_{10} & +  0.01 x_{23} & +  0.45 x_{16} & +  0.26 x_{17} & +  0.80 x_{18} & +  0.02 x_{25}\\
 x_{2}   &  0.0314994309363 & +  0.56 x_{1} & +  0.02 x_{22} & -0.04 x_{32} & -0.01 x_{4} & -0.00 x_{21} & +  0.04 x_{6} & +  0.92 x_{7} & -0.03 x_{34} & +  0.40 x_{9} & +  0.01 x_{24} & +  0.03 x_{20} & +  0.99 x_{12} & -1.25 x_{13} & -0.92 x_{10} & +  0.03 x_{23} & +  0.38 x_{16} & -0.36 x_{17} & -0.09 x_{18} & -0.06 x_{25}\\
 x_{29}   &  0.398901104493 & +  8.57 x_{1} & +  2.28 x_{22} & +  0.65 x_{32} & + 17.19 x_{4} & +  1.37 x_{21} & +  7.21 x_{6} & + 23.62 x_{7} & +  0.79 x_{34} & + 23.20 x_{9} & +  1.08 x_{24} & +  0.19 x_{20} & + 11.55 x_{12} & + 23.53 x_{13} & -14.62 x_{10} & +  0.55 x_{23} & +  4.42 x_{16} & + 10.69 x_{17} & + 30.45 x_{18} & +  0.63 x_{25}\\
 x_{19}   &  0.103330010972 & +  0.43 x_{1} & -0.01 x_{22} & +  0.02 x_{32} & -0.29 x_{4} & -0.00 x_{21} & +  0.21 x_{6} & -0.23 x_{7} & -0.04 x_{34} & -0.28 x_{9} & +  0.02 x_{24} & -0.01 x_{20} & -0.21 x_{12} & +  0.25 x_{13} & +  0.15 x_{10} & +  0.05 x_{23} & +  0.11 x_{16} & -0.23 x_{17} & +  0.72 x_{18} & +  0.04 x_{25}\\
 x_{26}   &  2.52363815174 & -1.91 x_{1} & +  0.35 x_{22} & -0.22 x_{32} & + 23.20 x_{4} & +  0.34 x_{21} & -6.85 x_{6} & +  2.22 x_{7} & +  0.68 x_{34} & + 10.22 x_{9} & +  0.42 x_{24} & -0.46 x_{20} & -5.07 x_{12} & + 18.79 x_{13} & + 10.15 x_{10} & +  0.31 x_{23} & +  2.17 x_{16} & +  6.67 x_{17} & +  9.91 x_{18} & +  0.79 x_{25}\\
 x_{15}   &  0.304545738442 & +  0.41 x_{1} & +  0.17 x_{22} & -0.01 x_{32} & +  1.97 x_{4} & +  0.09 x_{21} & +  0.07 x_{6} & +  2.08 x_{7} & +  0.03 x_{34} & +  1.53 x_{9} & +  0.07 x_{24} & -0.04 x_{20} & +  0.26 x_{12} & +  1.76 x_{13} & -0.05 x_{10} & +  0.06 x_{23} & +  0.40 x_{16} & +  0.66 x_{17} & +  2.73 x_{18} & +  0.07 x_{25}\\
 x_{28}   &  3.73780776478 & + 11.42 x_{1} & +  0.69 x_{22} & -0.30 x_{32} & +  6.26 x_{4} & +  0.17 x_{21} & -9.70 x_{6} & + 10.07 x_{7} & -0.19 x_{34} & + 14.49 x_{9} & +  0.26 x_{24} & -0.59 x_{20} & +  8.51 x_{12} & + 12.98 x_{13} & -0.36 x_{10} & +  0.30 x_{23} & -2.24 x_{16} & -2.86 x_{17} & +  6.54 x_{18} & -0.25 x_{25}\\
 x_{27}   &  0.683246367377 & +  5.76 x_{1} & -0.82 x_{22} & +  0.13 x_{32} & -5.48 x_{4} & -0.34 x_{21} & +  0.36 x_{6} & -18.39 x_{7} & -0.53 x_{34} & -0.87 x_{9} & +  0.00 x_{24} & -0.65 x_{20} & -5.52 x_{12} & -2.77 x_{13} & +  8.55 x_{10} & +  0.51 x_{23} & -6.42 x_{16} & -11.91 x_{17} & -0.85 x_{18} & +  0.60 x_{25}\\
 x_{30}   &  1.74570432437 & + 14.15 x_{1} & +  0.35 x_{22} & -0.68 x_{32} & +  3.14 x_{4} & +  0.35 x_{21} & -10.20 x_{6} & +  5.43 x_{7} & +  0.05 x_{34} & + 12.39 x_{9} & +  0.20 x_{24} & +  0.40 x_{20} & +  8.89 x_{12} & -0.12 x_{13} & -14.26 x_{10} & +  0.40 x_{23} & +  1.59 x_{16} & +  5.21 x_{17} & -2.28 x_{18} & -0.18 x_{25}\\
 x_{31}   &  2.99886337024 & -10.09 x_{1} & +  1.31 x_{22} & +  0.16 x_{32} & +  9.35 x_{4} & +  0.75 x_{21} & +  5.98 x_{6} & + 13.13 x_{7} & +  0.23 x_{34} & +  7.49 x_{9} & -0.11 x_{24} & -0.32 x_{20} & -5.97 x_{12} & + 15.28 x_{13} & +  5.70 x_{10} & +  0.00 x_{23} & -11.46 x_{16} & + 11.05 x_{17} & + 15.43 x_{18} & +  0.69 x_{25}\\
 x_{3}   &  0.046815337408 & +  0.05 x_{1} & +  0.03 x_{22} & -0.08 x_{32} & -0.07 x_{4} & -0.03 x_{21} & -0.31 x_{6} & +  0.37 x_{7} & -0.06 x_{34} & +  0.32 x_{9} & +  0.01 x_{24} & -0.00 x_{20} & +  0.32 x_{12} & -0.48 x_{13} & -0.43 x_{10} & +  0.02 x_{23} & +  0.81 x_{16} & -0.15 x_{17} & -0.39 x_{18} & -0.01 x_{25}\\
 x_{33}   &  3.81469707427 & +  5.69 x_{1} & +  1.43 x_{22} & -0.15 x_{32} & +  9.79 x_{4} & +  0.84 x_{21} & + 17.01 x_{6} & + 19.24 x_{7} & +  0.64 x_{34} & + 14.05 x_{9} & +  0.99 x_{24} & +  0.40 x_{20} & +  7.81 x_{12} & +  5.27 x_{13} & -19.52 x_{10} & -0.72 x_{23} & +  5.23 x_{16} & +  2.08 x_{17} & +  3.12 x_{18} & +  0.28 x_{25}\\
 x_{11}   &  0.0310025100061 & +  0.06 x_{1} & +  0.03 x_{22} & -0.02 x_{32} & +  0.96 x_{4} & +  0.05 x_{21} & -0.63 x_{6} & +  0.41 x_{7} & +  0.04 x_{34} & +  0.03 x_{9} & -0.02 x_{24} & +  0.00 x_{20} & -0.25 x_{12} & +  0.59 x_{13} & +  0.30 x_{10} & -0.01 x_{23} & -0.16 x_{16} & +  0.15 x_{17} & +  0.15 x_{18} & +  0.03 x_{25}\\
\hline
z    &  1.36756299432 & -4.04 x_{1} & +  1.54 x_{22} & -0.33 x_{32} & + 17.79 x_{4} & +  0.77 x_{21} & +  5.40 x_{6} & + 17.69 x_{7} & +  0.59 x_{34} & + 13.68 x_{9} & +  0.54 x_{24} & +  0.31 x_{20} & +  7.07 x_{12} & +  9.83 x_{13} & -5.53 x_{10} & +  0.01 x_{23} & +  4.38 x_{16} & +  9.92 x_{17} & + 12.65 x_{18} & +  0.16 x_{25}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{8}   &  0.139891519586 & -0.28 x_{1} & +  0.02 x_{22} & +  0.06 x_{32} & -0.10 x_{27} & +  0.04 x_{21} & +  0.74 x_{6} & -1.52 x_{7} & +  0.00 x_{34} & -0.06 x_{9} & +  0.01 x_{24} & -0.03 x_{20} & -0.38 x_{12} & +  1.17 x_{13} & +  0.67 x_{10} & -0.01 x_{23} & -1.35 x_{16} & +  0.21 x_{17} & +  0.35 x_{18} & +  0.10 x_{25}\\
 x_{5}   &  0.336539395335 & +  1.22 x_{1} & -0.11 x_{22} & +  0.04 x_{32} & -0.18 x_{27} & +  0.02 x_{21} & +  0.50 x_{6} & -2.24 x_{7} & -0.05 x_{34} & +  0.19 x_{9} & +  0.06 x_{24} & -0.11 x_{20} & -0.21 x_{12} & -0.34 x_{13} & +  0.68 x_{10} & +  0.04 x_{23} & -1.55 x_{16} & -2.02 x_{17} & +  0.95 x_{18} & +  0.11 x_{25}\\
 x_{14}   &  0.139897181299 & +  1.11 x_{1} & -0.06 x_{22} & -0.00 x_{32} & -0.14 x_{27} & -0.03 x_{21} & +  0.51 x_{6} & -1.19 x_{7} & -0.04 x_{34} & +  1.00 x_{9} & +  0.07 x_{24} & -0.07 x_{20} & -0.13 x_{12} & -0.65 x_{13} & +  0.73 x_{10} & +  0.08 x_{23} & -0.42 x_{16} & -1.36 x_{17} & +  0.69 x_{18} & +  0.10 x_{25}\\
 x_{2}   &  0.0307218089271 & +  0.55 x_{1} & +  0.02 x_{22} & -0.04 x_{32} & +  0.00 x_{27} & -0.00 x_{21} & +  0.04 x_{6} & +  0.94 x_{7} & -0.03 x_{34} & +  0.40 x_{9} & +  0.01 x_{24} & +  0.03 x_{20} & +  1.00 x_{12} & -1.24 x_{13} & -0.93 x_{10} & +  0.03 x_{23} & +  0.38 x_{16} & -0.34 x_{17} & -0.09 x_{18} & -0.06 x_{25}\\
 x_{29}   &  2.54066477229 & + 26.63 x_{1} & -0.28 x_{22} & +  1.07 x_{32} & -3.13 x_{27} & +  0.29 x_{21} & +  8.35 x_{6} & -34.02 x_{7} & -0.88 x_{34} & + 20.48 x_{9} & +  1.08 x_{24} & -1.85 x_{20} & -5.75 x_{12} & + 14.87 x_{13} & + 12.18 x_{10} & +  2.16 x_{23} & -15.70 x_{16} & -26.65 x_{17} & + 27.79 x_{18} & +  2.51 x_{25}\\
 x_{19}   &  0.067494446944 & +  0.12 x_{1} & +  0.03 x_{22} & +  0.01 x_{32} & +  0.05 x_{27} & +  0.02 x_{21} & +  0.19 x_{6} & +  0.74 x_{7} & -0.01 x_{34} & -0.23 x_{9} & +  0.02 x_{24} & +  0.02 x_{20} & +  0.08 x_{12} & +  0.40 x_{13} & -0.30 x_{10} & +  0.02 x_{23} & +  0.44 x_{16} & +  0.39 x_{17} & +  0.76 x_{18} & +  0.01 x_{25}\\
 x_{26}   &  5.41548771689 & + 22.48 x_{1} & -3.11 x_{22} & +  0.35 x_{32} & -4.23 x_{27} & -1.13 x_{21} & -5.31 x_{6} & -75.61 x_{7} & -1.58 x_{34} & +  6.54 x_{9} & +  0.42 x_{24} & -3.21 x_{20} & -28.43 x_{12} & +  7.08 x_{13} & + 46.34 x_{10} & +  2.49 x_{23} & -24.99 x_{16} & -43.75 x_{17} & +  6.33 x_{18} & +  3.33 x_{25}\\
 x_{15}   &  0.550378461148 & +  2.48 x_{1} & -0.12 x_{22} & +  0.04 x_{32} & -0.36 x_{27} & -0.04 x_{21} & +  0.20 x_{6} & -4.53 x_{7} & -0.16 x_{34} & +  1.22 x_{9} & +  0.07 x_{24} & -0.27 x_{20} & -1.73 x_{12} & +  0.77 x_{13} & +  3.02 x_{10} & +  0.25 x_{23} & -1.91 x_{16} & -3.63 x_{17} & +  2.42 x_{18} & +  0.28 x_{25}\\
 x_{28}   &  4.5174647533 & + 17.99 x_{1} & -0.24 x_{22} & -0.15 x_{32} & -1.14 x_{27} & -0.22 x_{21} & -9.29 x_{6} & -10.91 x_{7} & -0.80 x_{34} & + 13.50 x_{9} & +  0.26 x_{24} & -1.33 x_{20} & +  2.21 x_{12} & +  9.83 x_{13} & +  9.40 x_{10} & +  0.89 x_{23} & -9.56 x_{16} & -16.45 x_{17} & +  5.57 x_{18} & +  0.44 x_{25}\\
 x_{4}   &  0.124623710005 & +  1.05 x_{1} & -0.15 x_{22} & +  0.02 x_{32} & -0.18 x_{27} & -0.06 x_{21} & +  0.07 x_{6} & -3.35 x_{7} & -0.10 x_{34} & -0.16 x_{9} & +  0.00 x_{24} & -0.12 x_{20} & -1.01 x_{12} & -0.50 x_{13} & +  1.56 x_{10} & +  0.09 x_{23} & -1.17 x_{16} & -2.17 x_{17} & -0.15 x_{18} & +  0.11 x_{25}\\
 x_{30}   &  2.13750556022 & + 17.46 x_{1} & -0.11 x_{22} & -0.60 x_{32} & -0.57 x_{27} & +  0.15 x_{21} & -9.99 x_{6} & -5.12 x_{7} & -0.26 x_{34} & + 11.90 x_{9} & +  0.20 x_{24} & +  0.02 x_{20} & +  5.73 x_{12} & -1.71 x_{13} & -9.36 x_{10} & +  0.69 x_{23} & -2.09 x_{16} & -1.62 x_{17} & -2.77 x_{18} & +  0.16 x_{25}\\
 x_{31}   &  4.16368510304 & -0.27 x_{1} & -0.08 x_{22} & +  0.39 x_{32} & -1.70 x_{27} & +  0.16 x_{21} & +  6.60 x_{6} & -18.22 x_{7} & -0.68 x_{34} & +  6.01 x_{9} & -0.11 x_{24} & -1.43 x_{20} & -15.38 x_{12} & + 10.57 x_{13} & + 20.28 x_{10} & +  0.88 x_{23} & -22.40 x_{16} & -9.25 x_{17} & + 13.98 x_{18} & +  1.72 x_{25}\\
 x_{3}   &  0.0383703157632 & -0.02 x_{1} & +  0.04 x_{22} & -0.08 x_{32} & +  0.01 x_{27} & -0.02 x_{21} & -0.31 x_{6} & +  0.59 x_{7} & -0.06 x_{34} & +  0.33 x_{9} & +  0.01 x_{24} & +  0.01 x_{20} & +  0.39 x_{12} & -0.45 x_{13} & -0.54 x_{10} & +  0.01 x_{23} & +  0.88 x_{16} & -0.01 x_{17} & -0.38 x_{18} & -0.01 x_{25}\\
 x_{33}   &  5.03537566751 & + 15.98 x_{1} & -0.03 x_{22} & +  0.09 x_{32} & -1.79 x_{27} & +  0.22 x_{21} & + 17.66 x_{6} & -13.61 x_{7} & -0.31 x_{34} & + 12.50 x_{9} & +  0.99 x_{24} & -0.76 x_{20} & -2.05 x_{12} & +  0.33 x_{13} & -4.24 x_{10} & +  0.20 x_{23} & -6.24 x_{16} & -19.20 x_{17} & +  1.61 x_{18} & +  1.35 x_{25}\\
 x_{11}   &  0.150622764569 & +  1.06 x_{1} & -0.11 x_{22} & +  0.01 x_{32} & -0.18 x_{27} & -0.01 x_{21} & -0.56 x_{6} & -2.81 x_{7} & -0.05 x_{34} & -0.12 x_{9} & -0.02 x_{24} & -0.11 x_{20} & -1.22 x_{12} & +  0.10 x_{13} & +  1.80 x_{10} & +  0.08 x_{23} & -1.29 x_{16} & -1.93 x_{17} & -0.00 x_{18} & +  0.14 x_{25}\\
\hline
z    &  3.58414969466 & + 14.65 x_{1} & -1.11 x_{22} & +  0.10 x_{32} & -3.24 x_{27} & -0.35 x_{21} & +  6.58 x_{6} & -41.97 x_{7} & -1.14 x_{34} & + 10.86 x_{9} & +  0.54 x_{24} & -1.80 x_{20} & -10.83 x_{12} & +  0.86 x_{13} & + 22.20 x_{10} & +  1.68 x_{23} & -16.44 x_{16} & -28.72 x_{17} & +  9.90 x_{18} & +  2.11 x_{25}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.499943381587 & -3.57 x_{8} & +  0.08 x_{22} & +  0.20 x_{32} & -0.35 x_{27} & +  0.13 x_{21} & +  2.65 x_{6} & -5.44 x_{7} & +  0.01 x_{34} & -0.20 x_{9} & +  0.04 x_{24} & -0.09 x_{20} & -1.35 x_{12} & +  4.18 x_{13} & +  2.39 x_{10} & -0.05 x_{23} & -4.81 x_{16} & +  0.76 x_{17} & +  1.25 x_{18} & +  0.35 x_{25}\\
 x_{5}   &  0.94407737842 & -4.34 x_{8} & -0.01 x_{22} & +  0.28 x_{32} & -0.61 x_{27} & +  0.18 x_{21} & +  3.72 x_{6} & -8.86 x_{7} & -0.03 x_{34} & -0.05 x_{9} & +  0.10 x_{24} & -0.22 x_{20} & -1.85 x_{12} & +  4.75 x_{13} & +  3.59 x_{10} & -0.01 x_{23} & -7.40 x_{16} & -1.10 x_{17} & +  2.47 x_{18} & +  0.54 x_{25}\\
 x_{14}   &  0.696551509974 & -3.98 x_{8} & +  0.04 x_{22} & +  0.22 x_{32} & -0.53 x_{27} & +  0.12 x_{21} & +  3.45 x_{6} & -7.25 x_{7} & -0.03 x_{34} & +  0.78 x_{9} & +  0.11 x_{24} & -0.17 x_{20} & -1.63 x_{12} & +  4.01 x_{13} & +  3.39 x_{10} & +  0.03 x_{23} & -5.78 x_{16} & -0.52 x_{17} & +  2.08 x_{18} & +  0.49 x_{25}\\
 x_{2}   &  0.305549461819 & -1.96 x_{8} & +  0.06 x_{22} & +  0.06 x_{32} & -0.19 x_{27} & +  0.07 x_{21} & +  1.50 x_{6} & -2.06 x_{7} & -0.02 x_{34} & +  0.29 x_{9} & +  0.04 x_{24} & -0.02 x_{20} & +  0.26 x_{12} & +  1.06 x_{13} & +  0.38 x_{10} & +  0.00 x_{23} & -2.26 x_{16} & +  0.07 x_{17} & +  0.59 x_{18} & +  0.14 x_{25}\\
 x_{29}   &  15.8530679053 & -95.16 x_{8} & +  1.96 x_{22} & +  6.36 x_{32} & -12.51 x_{27} & +  3.76 x_{21} & + 78.89 x_{6} & -178.96 x_{7} & -0.57 x_{34} & + 15.23 x_{9} & +  2.09 x_{24} & -4.34 x_{20} & -41.57 x_{12} & + 126.26 x_{13} & + 75.86 x_{10} & +  0.91 x_{23} & -143.86 x_{16} & -6.53 x_{17} & + 61.08 x_{18} & + 11.84 x_{25}\\
 x_{19}   &  0.129662373094 & -0.44 x_{8} & +  0.04 x_{22} & +  0.03 x_{32} & +  0.01 x_{27} & +  0.03 x_{21} & +  0.52 x_{6} & +  0.06 x_{7} & -0.01 x_{34} & -0.26 x_{9} & +  0.03 x_{24} & +  0.01 x_{20} & -0.08 x_{12} & +  0.92 x_{13} & +  0.00 x_{10} & +  0.02 x_{23} & -0.16 x_{16} & +  0.48 x_{17} & +  0.92 x_{18} & +  0.05 x_{25}\\
 x_{26}   &  16.6522419476 & -80.32 x_{8} & -1.21 x_{22} & +  4.82 x_{32} & -12.15 x_{27} & +  1.81 x_{21} & + 54.24 x_{6} & -197.95 x_{7} & -1.32 x_{34} & +  2.11 x_{9} & +  1.28 x_{24} & -5.32 x_{20} & -58.66 x_{12} & + 101.11 x_{13} & + 100.09 x_{10} & +  1.44 x_{23} & -133.17 x_{16} & -26.77 x_{17} & + 34.43 x_{18} & + 11.21 x_{25}\\
 x_{15}   &  1.79029971216 & -8.86 x_{8} & +  0.09 x_{22} & +  0.53 x_{32} & -1.23 x_{27} & +  0.29 x_{21} & +  6.77 x_{6} & -18.03 x_{7} & -0.13 x_{34} & +  0.73 x_{9} & +  0.17 x_{24} & -0.50 x_{20} & -5.06 x_{12} & + 11.14 x_{13} & +  8.95 x_{10} & +  0.13 x_{23} & -13.84 x_{16} & -1.75 x_{17} & +  5.52 x_{18} & +  1.15 x_{25}\\
 x_{28}   &  13.5129207525 & -64.30 x_{8} & +  1.28 x_{22} & +  3.42 x_{32} & -7.48 x_{27} & +  2.12 x_{21} & + 38.38 x_{6} & -108.85 x_{7} & -0.59 x_{34} & +  9.96 x_{9} & +  0.94 x_{24} & -3.02 x_{20} & -21.99 x_{12} & + 85.10 x_{13} & + 52.43 x_{10} & +  0.05 x_{23} & -96.17 x_{16} & -2.86 x_{17} & + 28.07 x_{18} & +  6.74 x_{25}\\
 x_{4}   &  0.649964467533 & -3.76 x_{8} & -0.06 x_{22} & +  0.23 x_{32} & -0.55 x_{27} & +  0.07 x_{21} & +  2.85 x_{6} & -9.07 x_{7} & -0.09 x_{34} & -0.37 x_{9} & +  0.04 x_{24} & -0.22 x_{20} & -2.42 x_{12} & +  3.89 x_{13} & +  4.07 x_{10} & +  0.04 x_{23} & -6.23 x_{16} & -1.38 x_{17} & +  1.16 x_{18} & +  0.48 x_{25}\\
 x_{30}   &  10.8647576001 & -62.39 x_{8} & +  1.36 x_{22} & +  2.86 x_{32} & -6.72 x_{27} & +  2.43 x_{21} & + 36.25 x_{6} & -100.14 x_{7} & -0.05 x_{34} & +  8.46 x_{9} & +  0.86 x_{24} & -1.61 x_{20} & -17.75 x_{12} & + 71.32 x_{13} & + 32.39 x_{10} & -0.12 x_{23} & -86.11 x_{16} & + 11.57 x_{17} & + 19.05 x_{18} & +  6.28 x_{25}\\
 x_{31}   &  4.02844851233 & +  0.97 x_{8} & -0.10 x_{22} & +  0.33 x_{32} & -1.61 x_{27} & +  0.13 x_{21} & +  5.88 x_{6} & -16.74 x_{7} & -0.68 x_{34} & +  6.06 x_{9} & -0.12 x_{24} & -1.40 x_{20} & -15.01 x_{12} & +  9.44 x_{13} & + 19.63 x_{10} & +  0.89 x_{23} & -21.10 x_{16} & -9.46 x_{17} & + 13.65 x_{18} & +  1.62 x_{25}\\
 x_{3}   &  0.0293484328182 & +  0.06 x_{8} & +  0.04 x_{22} & -0.08 x_{32} & +  0.02 x_{27} & -0.03 x_{21} & -0.36 x_{6} & +  0.69 x_{7} & -0.06 x_{34} & +  0.33 x_{9} & +  0.01 x_{24} & +  0.01 x_{20} & +  0.41 x_{12} & -0.52 x_{13} & -0.58 x_{10} & +  0.01 x_{23} & +  0.97 x_{16} & -0.02 x_{17} & -0.40 x_{18} & -0.02 x_{25}\\
 x_{33}   &  13.0264646955 & -57.12 x_{8} & +  1.32 x_{22} & +  3.26 x_{32} & -7.42 x_{27} & +  2.31 x_{21} & + 60.00 x_{6} & -100.61 x_{7} & -0.12 x_{34} & +  9.35 x_{9} & +  1.59 x_{24} & -2.26 x_{20} & -23.55 x_{12} & + 67.20 x_{13} & + 33.98 x_{10} & -0.55 x_{23} & -83.17 x_{16} & -7.13 x_{17} & + 21.59 x_{18} & +  6.95 x_{25}\\
 x_{11}   &  0.682443943213 & -3.80 x_{8} & -0.02 x_{22} & +  0.22 x_{32} & -0.55 x_{27} & +  0.13 x_{21} & +  2.25 x_{6} & -8.60 x_{7} & -0.04 x_{34} & -0.33 x_{9} & +  0.02 x_{24} & -0.21 x_{20} & -2.65 x_{12} & +  4.55 x_{13} & +  4.34 x_{10} & +  0.03 x_{23} & -6.41 x_{16} & -1.13 x_{17} & +  1.33 x_{18} & +  0.51 x_{25}\\
\hline
z    &  10.906556226 & -52.34 x_{8} & +  0.13 x_{22} & +  3.01 x_{32} & -8.40 x_{27} & +  1.56 x_{21} & + 45.38 x_{6} & -121.69 x_{7} & -0.97 x_{34} & +  7.97 x_{9} & +  1.09 x_{24} & -3.17 x_{20} & -30.53 x_{12} & + 62.13 x_{13} & + 57.23 x_{10} & +  1.00 x_{23} & -86.93 x_{16} & -17.66 x_{17} & + 28.21 x_{18} & +  7.24 x_{25}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.714453419972 & -3.10 x_{8} & +  0.34 x_{22} & -0.40 x_{32} & -0.22 x_{27} & -0.07 x_{21} & -7.31 x_{3} & -0.39 x_{7} & -0.41 x_{34} & +  2.23 x_{9} & +  0.07 x_{24} & -0.03 x_{20} & +  1.65 x_{12} & +  0.37 x_{13} & -1.86 x_{10} & +  0.03 x_{23} & +  2.29 x_{16} & +  0.60 x_{17} & -1.67 x_{18} & +  0.20 x_{25}\\
 x_{5}   &  1.24548736192 & -3.68 x_{8} & +  0.36 x_{22} & -0.55 x_{32} & -0.42 x_{27} & -0.10 x_{21} & -10.27 x_{3} & -1.75 x_{7} & -0.62 x_{34} & +  3.37 x_{9} & +  0.15 x_{24} & -0.14 x_{20} & +  2.36 x_{12} & -0.61 x_{13} & -2.38 x_{10} & +  0.10 x_{23} & +  2.58 x_{16} & -1.32 x_{17} & -1.63 x_{18} & +  0.33 x_{25}\\
 x_{14}   &  0.976307260887 & -3.36 x_{8} & +  0.37 x_{22} & -0.55 x_{32} & -0.35 x_{27} & -0.14 x_{21} & -9.53 x_{3} & -0.65 x_{7} & -0.57 x_{34} & +  3.94 x_{9} & +  0.16 x_{24} & -0.09 x_{20} & +  2.28 x_{12} & -0.96 x_{13} & -2.15 x_{10} & +  0.14 x_{23} & +  3.48 x_{16} & -0.73 x_{17} & -1.73 x_{18} & +  0.30 x_{25}\\
 x_{2}   &  0.426645370035 & -1.70 x_{8} & +  0.21 x_{22} & -0.27 x_{32} & -0.12 x_{27} & -0.05 x_{21} & -4.13 x_{3} & +  0.80 x_{7} & -0.26 x_{34} & +  1.66 x_{9} & +  0.06 x_{24} & +  0.01 x_{20} & +  1.95 x_{12} & -1.09 x_{13} & -2.02 x_{10} & +  0.05 x_{23} & +  1.75 x_{16} & -0.02 x_{17} & -1.06 x_{18} & +  0.05 x_{25}\\
 x_{29}   &  22.2410050463 & -81.13 x_{8} & +  9.63 x_{22} & -11.34 x_{32} & -8.44 x_{27} & -2.19 x_{21} & -217.66 x_{3} & -28.41 x_{7} & -13.03 x_{34} & + 87.57 x_{9} & +  3.18 x_{24} & -2.57 x_{20} & + 47.70 x_{12} & + 12.82 x_{13} & -50.65 x_{10} & +  3.33 x_{23} & + 67.63 x_{16} & -11.17 x_{17} & -25.96 x_{18} & +  7.44 x_{25}\\
 x_{19}   &  0.172072086996 & -0.35 x_{8} & +  0.09 x_{22} & -0.08 x_{32} & +  0.04 x_{27} & -0.01 x_{21} & -1.45 x_{3} & +  1.06 x_{7} & -0.09 x_{34} & +  0.22 x_{9} & +  0.03 x_{24} & +  0.02 x_{20} & +  0.51 x_{12} & +  0.16 x_{13} & -0.84 x_{10} & +  0.03 x_{23} & +  1.25 x_{16} & +  0.45 x_{17} & +  0.34 x_{18} & +  0.02 x_{25}\\
 x_{26}   &  21.0439010364 & -70.67 x_{8} & +  4.06 x_{22} & -7.35 x_{32} & -9.35 x_{27} & -2.28 x_{21} & -149.64 x_{3} & -94.45 x_{7} & -9.88 x_{34} & + 51.84 x_{9} & +  2.03 x_{24} & -4.10 x_{20} & +  2.71 x_{12} & + 23.12 x_{13} & + 13.12 x_{10} & +  3.10 x_{23} & + 12.22 x_{16} & -29.96 x_{17} & -25.42 x_{18} & +  8.19 x_{25}\\
 x_{15}   &  2.33859780375 & -7.66 x_{8} & +  0.74 x_{22} & -0.99 x_{32} & -0.88 x_{27} & -0.22 x_{21} & -18.68 x_{3} & -5.11 x_{7} & -1.20 x_{34} & +  6.94 x_{9} & +  0.26 x_{24} & -0.35 x_{20} & +  2.60 x_{12} & +  1.41 x_{13} & -1.90 x_{10} & +  0.34 x_{23} & +  4.31 x_{16} & -2.15 x_{17} & -1.95 x_{18} & +  0.78 x_{25}\\
 x_{28}   &  16.6205250829 & -57.47 x_{8} & +  5.01 x_{22} & -5.18 x_{32} & -5.50 x_{27} & -0.77 x_{21} & -105.89 x_{3} & -35.61 x_{7} & -6.65 x_{34} & + 45.14 x_{9} & +  1.48 x_{24} & -2.15 x_{20} & + 21.44 x_{12} & + 29.91 x_{13} & -9.12 x_{10} & +  1.22 x_{23} & +  6.72 x_{16} & -5.12 x_{17} & -14.28 x_{18} & +  4.60 x_{25}\\
 x_{4}   &  0.880755037589 & -3.25 x_{8} & +  0.22 x_{22} & -0.41 x_{32} & -0.41 x_{27} & -0.14 x_{21} & -7.86 x_{3} & -3.63 x_{7} & -0.54 x_{34} & +  2.25 x_{9} & +  0.08 x_{24} & -0.15 x_{20} & +  0.81 x_{12} & -0.21 x_{13} & -0.50 x_{10} & +  0.13 x_{23} & +  1.41 x_{16} & -1.55 x_{17} & -1.99 x_{18} & +  0.32 x_{25}\\
 x_{30}   &  13.8002686526 & -55.94 x_{8} & +  4.88 x_{22} & -5.27 x_{32} & -4.85 x_{27} & -0.31 x_{21} & -100.02 x_{3} & -30.95 x_{7} & -5.78 x_{34} & + 41.70 x_{9} & +  1.36 x_{24} & -0.80 x_{20} & + 23.27 x_{12} & + 19.19 x_{13} & -25.75 x_{10} & +  0.99 x_{23} & + 11.08 x_{16} & +  9.44 x_{17} & -20.95 x_{18} & +  4.26 x_{25}\\
 x_{31}   &  4.50477013981 & +  2.01 x_{8} & +  0.47 x_{22} & -0.99 x_{32} & -1.31 x_{27} & -0.31 x_{21} & -16.23 x_{3} & -5.52 x_{7} & -1.61 x_{34} & + 11.46 x_{9} & -0.04 x_{24} & -1.27 x_{20} & -8.36 x_{12} & +  0.98 x_{13} & + 10.20 x_{10} & +  1.07 x_{23} & -5.33 x_{16} & -9.80 x_{17} & +  7.16 x_{18} & +  1.30 x_{25}\\
 x_{6}   &  0.0809731263352 & +  0.18 x_{8} & +  0.10 x_{22} & -0.22 x_{32} & +  0.05 x_{27} & -0.08 x_{21} & -2.76 x_{3} & +  1.91 x_{7} & -0.16 x_{34} & +  0.92 x_{9} & +  0.01 x_{24} & +  0.02 x_{20} & +  1.13 x_{12} & -1.44 x_{13} & -1.60 x_{10} & +  0.03 x_{23} & +  2.68 x_{16} & -0.06 x_{17} & -1.10 x_{18} & -0.06 x_{25}\\
 x_{33}   &  17.8850701946 & -46.45 x_{8} & +  7.15 x_{22} & -10.19 x_{32} & -4.32 x_{27} & -2.22 x_{21} & -165.55 x_{3} & + 13.90 x_{7} & -9.60 x_{34} & + 64.36 x_{9} & +  2.43 x_{24} & -0.91 x_{20} & + 44.35 x_{12} & -19.08 x_{13} & -62.24 x_{10} & +  1.29 x_{23} & + 77.69 x_{16} & -10.66 x_{17} & -44.61 x_{18} & +  3.61 x_{25}\\
 x_{11}   &  0.864906933512 & -3.40 x_{8} & +  0.19 x_{22} & -0.29 x_{32} & -0.43 x_{27} & -0.04 x_{21} & -6.22 x_{3} & -4.30 x_{7} & -0.39 x_{34} & +  1.74 x_{9} & +  0.05 x_{24} & -0.16 x_{20} & -0.10 x_{12} & +  1.31 x_{13} & +  0.73 x_{10} & +  0.10 x_{23} & -0.37 x_{16} & -1.26 x_{17} & -1.16 x_{18} & +  0.38 x_{25}\\
\hline
z    &  14.581506777 & -44.27 x_{8} & +  4.54 x_{22} & -7.16 x_{32} & -6.06 x_{27} & -1.86 x_{21} & -125.22 x_{3} & -35.08 x_{7} & -8.14 x_{34} & + 49.59 x_{9} & +  1.73 x_{24} & -2.15 x_{20} & + 20.83 x_{12} & -3.13 x_{13} & -15.55 x_{10} & +  2.39 x_{23} & + 34.74 x_{16} & -20.33 x_{17} & -21.87 x_{18} & +  4.71 x_{25}\\
\end{array}\]


 $ x_{9} $ enters and Unbounded Dictionary!


 $ x_{9} $ enters and Unbounded Dictionary!
\end{document}
